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简介 &B8x0 yi REc90v2" 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 <qoc)p=__ oeVI 6-_S 模型 4J9Y MR,>]|
^ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 %7[d5[U~ZA 1h]nE/T.O Table 1. AZ眼睛模型的定义 9u^za!pE 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. O~J f"Ht 1jK2*y 光源 " u]X/
{L FKtCUq,: 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 NHdNCHhA>- /xg1i1Et
aB&a#^5CI 图1. 光源和提示信息使用 }!kvoV)]1 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 =?M{B1;H )CH\]>-FO 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 pcQzvLk YFcMU5_F 图2. 字母F光源的设定方法光 mg3YKHNG @ uL4'@Ej 图3. 字母F在视网膜上位置点列图 nwJub$5 视网膜的散射 IYr4 lA,[& 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 sEb*GF*.V ~!fOl)F c~Y g( 图4. 视网膜朗伯散射设定 _P_R`A)" 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Urm(A9|N /u'V>=D;f #FGj)pu 图5. 视网膜重点采样规格设定 fQf d1=4 脚本 a{I(Qh!} "f!H[F1~ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: + VhD]! St3/mDtH 图6. 用户对话框的创建与编辑 pr\OjpvD 图7. 用户对话框编辑器 Nk\/lK\ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 (Ixmg=C6y 余下的脚本计算与屈光度有关的所有参数。 s=&x%0f% k
_Bz@^J 分析 .P!pC \S#![NC 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 lt C ;:~-=\ 图7. 字母F在视网膜上颜色分析 VPDd*32HC 脚本代码 $Ehe8,=fj }(UU~V Option Explicit 'Remove this to enable non-dimensioned variables to be used. CVgVyy^ dJ,,yA* Dim entity As T_ENTITY G$iC@,/ Dim op As T_OPERATION @ojV8 Dim mat As T_MODELMATERIAL T;Ra/H Dim A As Double PAjH*5IA Dim pupilDiam As Double ,h9N,bIQg Dim eID As Long U'xmn$O Dim parID As Long qAVZ&:# Dim count As Integer pTcN8E&Unz Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \4 hB1- Dim tlens As Double, nlens As Double s+]6X*) Dim curv As Double, conic As Double lDtl6r/ Dim ok As Long &Ht5!zuW, U NescZ Sub Main ?wj1t!83 Xa=oEG '用户输入对话框 AI*1kxR Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 uRRp8hht TextBox 220,21,40,21,.TextBox1 'default: 0 UV)!zgP Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X2C&q$8 OKButton 40,91,90,21 @O&; %IZMY CancelButton 190,91,90,21 2)R*d Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 05[k@f$n TextBox 220,49,40,21,.TextBox2 'default: 4 /c52w"WW End Dialog ]n&Eb88 Dim dlg As UserDialog >}!})]Xw9 af;~<oa ok = Dialog (dlg) GPU,.s"&( y/6%'56uF If ok=0 Then 'cancel button was pressed ood,k{ Print "Execution cancelled." [f@[gE End #BwkbOgr End If UZ 6:vmcT @6z]Xb 'Assign accommodation and pupil diameter & use defaults if field left empty ^@AIXBe If dlg.TextBox1 = "" Then U=\!`_f': A = 0 'Default accommodation C\5"Kb Else 2VA mL7) A = CDbl(dlg.TextBox1) CUZ
;<Pn End If #TKByOcD2! .KzU7 If dlg.TextBox2 = "" Then fg0zD:@rA pupilDiam = 4 'Default pupil diameter +G?nmXG[vj Else v?qU/ pupilDiam = CDbl(dlg.TextBox2) 5"I8ric End If 0fQMOTpOp {G4{4D } Print " " Zdll}nO"E Print "Accommodation = " & A & " Diopters" qK12: Print "Pupil Diameter = " & pupilDiam & " mm" QwgP+ M+ n0%]dKCB ' Calculate new parameters with accommodation gOKF%Ej31T taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness )l"py9STF w>Y!5RnO Rant = 12.0 - 0.4*A 'Radius of anterior lens Jde@Th CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens A1V^Gi@i }2~$"L,_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %cFqD
& 6 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens FJ(}@U}57 k_hs g6Ur. tlens = 3.767 + 0.04*A 'Lens thickness Dt\rMSjZ9 uQ'Izdm nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4-veO3&.h MY"8! 'Adjust parameters to account for accommodation <WRrB
`nO S[5e,Ew '************************************************************************* /D&7 \3} 'Aqueous thickness (Position of Lens) =& =#G3f '************************************************************************* wwD?i.3 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X4Y!Z/b GetCustomElement eID, entity nH7i)!cI~ hqVxvS" parID = FindFullName( "Geometry.Arizona Eye" ) s2ixiv= Cqc5jx0) ' Delete any shift(s) in z '\I!RAZ count = 0 k@/s-^ry3 While GetOperationCount(eID)>count R8![
$mkU GetOperation eID, count, op TG@ W:>N( If op.Type="ShiftZ" Then xY94v DeleteOperation eID,count `M.\ D count=count-1 EX9os End If 0s'H(qE,_ count=count+1 @Rp#*{ Wend /7[X_)OG P{gy/'PH, 'Set new shift in IFfB3{J op.Type = "ShiftZ" 8Jb N&C op.val1 = taq 3C7}V{? op.parent = parID }{(J*T AddOperation eID, op <Gkmk?x`A Print "Set aqueous humor thickness = " & taq-0.55 mKN#dmw6 T5b*Ia '************************************************************************* !au%D?w 'Radius and conic constant of anterior lens 7r,h[9~e '************************************************************************* Qq*Ks
5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) s%l`XW;v GetConic eID, entity, curv, conic }Z Nyd W5_aS2$ SetConic eID, entity, 1/Rant, CCant moT*r?l Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "{"745H5 [)S&PK '************************************************************************* k1HVvMD< 'Radius and conic constant of posterior lens ,J)wn;@ '************************************************************************* q6a7o=BP] eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) lbUUf} GetConic eID, entity, curv, conic gOL-b9W Q8> SetConic eID, entity, 1/Rpost, CCpost ('Doy1L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost KKJ)BG?qZ &x>8
%Q s '************************************************************************* "yA=Tw 'Lens thickness (Position of posterior lens surface) g;To}0H '************************************************************************* rIJv(&l R-lpsvDDL2 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Wd<|DmSy fNnX{Wq ' Delete any z-shift(s) V4>qR{5 count = 0 %=EN 3>, While GetOperationCount(eID)>count 1Q>D^yPI[ GetOperation eID, count, op 3L1MMUACL If op.Type="ShiftZ" Then -jdhdh DeleteOperation eID,count tX@G`Mr( count=count-1 `<x((@# End If ilr'<5rq count=count+1 i}E&mv' Wend b"7L
;J5| cypb6Q_ 'Set new z-shift Wt
1]9{$ op.Type = "ShiftZ" z8-dntkf op.val1 = tlens }$E341@ op.parent = parID '%y5Dh AddOperation eID, op Gw1Rp Print "Set lens thickness = " & tlens $3c9iVK~_ q\]"}M8 '************************************************************************* EPu-oE=HW4 'Lens index of refraction ` 5lW '************************************************************************* o<Y[GW1pg eID = FindMaterial( "Lens" ) L=# nnj- GetModelMaterial eID, mat c3]`W7E6L x?rn<= mat.Nd = nlens v{c,>]@ SetModelMaterial eID, mat
_CImf1 Print "Set lens index of refraction = " & nlens =%Z5"]; poU1Q#+4p* '************************************************************************* jL]Y;T8 'Pupil diameter .4O~a '************************************************************************* r~q3nIe/, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2PTAIm Rq ##r9/`A 'Adjust pupil diameter (trimming volume inner hole) }|u>b!7_. VV$4NV&`Q SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" +L
U.QI' Xt9vTCox ' Adjust pupil location to just in front of the lens ;6AanwR6 parID = FindFullName( "Geometry.Arizona Eye" )
e]DuV)k& eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) G<:gNWXd\ count = 0 a>8&B While GetOperationCount(eID)>count cf+EQY GetOperation eID, count, op Gr8%%]1!0 If op.Type="ShiftZ" Then CAa&,ZR DeleteOperation eID,count 5`\"UC7?% count=count-1 =lZtI6tZ End If $eiW2@ count=count+1 LTWiCI Wend %n@ ^$&,&; op.Type = "ShiftZ" E/@ op.val1 = taq-0.01 B]#^&89wG) op.parent = parID 7#+>1 "\ AddOperation eID, op ?XllPnuKt% U
uEm{ Print "Set pupil diameter = " & pupilDiam S;iJQS \&\U&^? 'Update AZ Eye subassembly Description @fh:lsw eID = FindFullName( "Geometry.Arizona Eye" ) UZRN4tru6 GetEntity eID, entity 4Is Wp!`W entity.Description = "Accommodation = " & A & "D" a&Z;$ SetEntity eID, entity Mi)h<lY tUT:vK` Update x T1MW Print "DONE!" 6Wk9"?+1 J;*2[o.N End Sub !S#K6: !uW;Ea? 如果屈光度是4,光瞳直径是4,则会输出如下数据: J b?x-%Za * -X`^R Accommodation = 4 Diopters Ejt?B')aB5 Pupil Diameter = 4 mm "h7Np/ m3 Set aqueous humor thickness = 2.81 {HbSty Set anterior lens radius = 10.4 and conic constant = -2.375869 $EG9V++b3 Set posterior lens radius = -4.424557 and conic constant = -3.081019 66{Dyn7J~ Set lens thickness = 3.927 aNUMF Set lens index of refraction = 1.42672 5;@2SY7, Set pupil diameter = 4 ijACfl{!:t DONE! hdDL92JVg
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